Thus, the role of the check operator \(\check{R}_z\)  is exactly to provide the spectral curve. Loop equations then build \(\rho (z)\)  from this curve by a specially devised canonical procedure, known as the AMM/EO topological recursion [1]}, [2]}, [3]}, [4]}. Remarkably, as we demonstrate below, these same check operators describe not only the classical spectral curve, but also its quantization.
